681541200 has 270 divisors, whose sum is σ = 2456298702. Its totient is φ = 174988800.

The previous prime is 681541193. The next prime is 681541249. The reversal of 681541200 is 2145186.

It can be written as a sum of positive squares in 3 ways, for example, as 199826496 + 481714704 = 14136^2 + 21948^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3459502 + ... + 3459698.

Almost surely, 2^681541200 is an apocalyptic number.

681541200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228149351).

681541200 is an abundant number, since it is smaller than the sum of its proper divisors (1774757502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

681541200 is a wasteful number, since it uses less digits than its factorization.

681541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 681541200 is about 26106.3440565699. The cubic root of 681541200 is about 880.0297854932.

Adding to 681541200 its reverse (2145186), we get a palindrome (683686386).

The spelling of 681541200 in words is "six hundred eighty-one million, five hundred forty-one thousand, two hundred".